Name: opez Show work/reasoning. 1. Solve the initial valued problem: y'=e' with y(0) = 0. Give your answer in explicit form y = f(x). dv

Q: f(x)=x^3(x+3) *differentiate the function

A:

Q: Directions: Consider the following function f(x). f(x) = 4x² - 3 Part 1 - Difference Quotient If h =…

A:

Q: Let R be the region bounded by the following curves. Find the volume of the solid generated when R…

A:

Q: Find the equation of the tangent plane to the surface determined by at x = 3, y = 4. z = x¹y¹ + z −…

A:

Q: F(x)= x³-2x² 3 2x Manipulate the function algebraically and differentiate without using the quotient…

A: Topic = Derivative

Q: Find the limit using lim 0-0 lim y →0 sin 12y 5y sin 0 0 = 1.

A:

Q: Directions: Consider the following function f(x). f(x) = That is: Part 1 - Difference Quotient If h…

A:

Q: Write a simpler function that agrees with the given function at all but one point. Then find the…

A: Given, limx→0x4-5x2x2

Q: Eliminate A and B from x = A sin(wt + B). w being a parameter not to be eliminated. Ox"+w^2x = 0…

A: To form the differential equation.

Q: A right circular cone with radius r and slant height I has surface area given by A = r² + nrl. When…

A:

Q: 1.  Given the function y = x⁴-2x²: DETERMINE THE MAXIMUM POINTS,  MINIMUM POINTS, AND INFLECTION…

A:

Q: Find the area of the region enclosed by the rose r = 14 cos 38.

A: Given, r=14 cos 3θ

Q: In you the mail, you receive a coupon for $5 off of a pair of jeans. When you arrive at the store,…

A:

Q: Find the equation of the tangent plane to the surface determined by at x = 3, y = 4. 2 = 4.4 - x³y²…

A: To find the equation of the tangent plane to the surface determined by x4y4+z-35=0at x=3, y=4.

Q: 4. An object is moved along the line from the point (1, 2, 1) into the origin (distance is in…

A:

Q: Use the graph off to determine each of the following (a) the domain off (b) the range of f (c) the…

A: We need to find out the domain, range, zeros etc for the given graph of the function.

Q: Find 원 when ax + cos(by) = c, where a, b and c are constants. b (a) —-cscy (c)csc(by) b (b) -…

A:

Q: If z = (x + y)e" and x = 7t and y = 1- t², find the following derivative using the chain rule. Enter…

A:

Q: Find the intersection of the line / and the plane T. 1:ř=(4,-1,4)+t(5,-2,3) T: 2x+5y+z+2=0

A: Given line, r=(4i-j+4k)+t(5i-2j+3k)               (1)And plane ,2x+5y+z+2=0…

Q: Suppose f'(x)=√√/1 + 2x¹. d da -f(8x): d dx f(2x¹) = [

A:

Q: 3. xlny + ylnx = 1 a. y y || x Y + Y x² lnx-y y² ln y - x b. x # ( xlny+y y ylnx+x y = y ln x - x ln…

A: We need to find y'.

Q: af af Find and for the following function. дх ду f(x,y) = (5x-3y)7

A:

Q: 2 Given tane = find csc0, cos0, sec, cot0, sinė if 0 is in Quadrant III. 3

A: Given  tan θ = 23.

Q: Question 9 Find the limit: lim, 7 O(E) O21 9 07 O 3

A:

Q: Evaluate the following integrals 16 ³√/1+√√/x dx √x a) 16 b) S dx x+Vxn-m where m and n are natural…

A:

Q: d Let Arctan² (3e) dx ke*Arctan(f(x)) g(x) Compute kf (0) - g (0) - 3

A:

Q: Two functions f and g are given. Show that the growth rate of the linear function is constant and…

A: Given ; f(t)=40+8.5t g(t)=40et/8.

Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A:

Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A:

Q: Question 4 Find the limit: lim, o O infinity O O (E) 1 O-1 0 0 sin(x²)

A:

Q: Make a substitution to express the integrand as a rational function and then evaluate the integral.…

A:

Q: y(3x² + y²)dx + x(x² + 3y²)dy = 0

A: Given differential equation is solved using homogeneous differential equation and then variable…

Q: Find the function y = f(t) passing through the point (0, 10) with the given differential equation.…

A:

Q: If z = (x + y)e", y = 5 - t², find dz/dt using the chain rule. Assume the variables are restricted…

A:

Q: Find the partial derivatives indicated Assume the variables are restricted to a domain on which the…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: Solve

A:

Q: Use the function and the accompanying figure to answer the following questions. a. Is f defined at x…

A:

Q: ← Graph the following equation in a rectangular coordinate system. x=8 Use the graphing tool to…

A: Given query is to graph the line x = 8.

Q: Degree 4; zeros: 5-2 i: -3 multiplicity 2 a represent the leading coefficient. The polynomial is…

A: Given query is to find the polynomial.

Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A:

Q: Question 1 Finding the limit: lim, 3 이를 O ㅇ 티 25 O 35 D 37 Vx+6 2+2:

A:

Q: determine an equation in factored form for a polynomal function with zeros -1 (order 2) and 3 (order…

A: zeroes -1 (order 2)  :  factor ( x+ 1 )2 3 (order 3)  : factor ( x - 3  )3

Q: Solve ABC subject to the given conditions. A 10.5°, C 97.1°, b=62 Part: 0/3 Part 1 of 3 B 11 O X $

A:

Q: Answer

A:

Q: Find the values that satisfy each variable through the Gaussian or Gaussian Jordan Elimination…

A: We have to find the values using Gaussian or Gauss Jordan Elimination Method.

Q: A differentiable function f(x, y) has the property that ƒ(4, 3) = 6 and fx (4, 3) = 6 and fy(4, 3) =…

A: Given; f(4,3)=6, fx(4,3)=6, fy(4,3)=3.

Q: y' + 3y = e²x

A: Topic: differential equations we are given equation, y'+3y=e2x Linear differential equation is of…

Q: Find the derivative of each function using the basic properties of differentiation. 1. f(x) = 5-7x…

A:

Q: 7. y = √√2x² - 4x +3

A:

Q: 1. Evaluate lim h→0 if f(a+h)-f(a) h f(a)= a² - 4a +6 2(a+2) O2(2a-1) O4a-2 2a-4 None of the Choices

A: